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What is the Least Common Multiple of 96638 and 96651?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 96638 and 96651 is 9340159338.

LCM(96638,96651) = 9340159338

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Least Common Multiple of 96638 and 96651 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96638 and 96651, than apply into the LCM equation.

GCF(96638,96651) = 1
LCM(96638,96651) = ( 96638 × 96651) / 1
LCM(96638,96651) = 9340159338 / 1
LCM(96638,96651) = 9340159338

Least Common Multiple (LCM) of 96638 and 96651 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96638 and 96651. First we will calculate the prime factors of 96638 and 96651.

Prime Factorization of 96638

Prime factors of 96638 are 2, 211, 229. Prime factorization of 96638 in exponential form is:

96638 = 21 × 2111 × 2291

Prime Factorization of 96651

Prime factors of 96651 are 3, 10739. Prime factorization of 96651 in exponential form is:

96651 = 32 × 107391

Now multiplying the highest exponent prime factors to calculate the LCM of 96638 and 96651.

LCM(96638,96651) = 21 × 2111 × 2291 × 32 × 107391
LCM(96638,96651) = 9340159338